How to Cover Most of a Point Set with a V-Shape of Minimum Width

نویسندگان

  • Boris Aronov
  • John Iacono
  • Özgür Özkan
  • Mark V. Yagnatinsky
چکیده

A V-shape is an infinite polygonal region bounded by two pairs of parallel rays emanating from two vertices (see Figure 1). We describe a randomized algorithm that, given n points and an integer k ≥ 0, finds the minimum-width V-shape enclosing all but k of the points with probability 1− 1/n for any c > 0, with expected running time O(cn(k + 1) log n(log n log log n + k)).

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تاریخ انتشار 2013